CAUCHY-TYPE MEANS FOR POSITIVE LINEAR FUNCTIONALS

被引：2

作者：

Anwar, M. ^{[1
]}

Pecaric, J. ^{[2
,3
]}

Lipanovic, M. Rodic ^{[2
]}

机构：

[1] Natl Univ Sci & Technol, Ctr Adv Math & Phys, Islamabad, Pakistan

[2] Univ Zagreb, Fac Text Technol, Zagreb 10000, Croatia

[3] Govt Coll Univ, Abdus Salam Sch Math Sci, Lahore, Pakistan

来源：

TAMKANG JOURNAL OF MATHEMATICS | 2011年 / 42卷 / 04期

关键词：

Jensen's inequality; mean-value theorems; linear functional; generalized means; generalized power mean; Cauchy-type means;

D O I：

10.5556/j.tkjm.42.2011.511-530

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Some mean-value theorems of the Cauchy type, which are connected with Jensen's inequality, are given in [8] in discrete form and in [11] in integral form. Here we give the generalization of that result for positive linear functionals. Using that result, new means of Cauchy type for positive linear functionals are given. Monotonicity of these new means is also discussed.

引用

页码：511 / 530

页数：20

共 13 条

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[9] An "error term" for the Ky Fan inequality
Mercer, AM
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